An ECU executes a program including the steps of selecting an engagement mode when start of an engine is requested and when an engine speed is smaller than α1; selecting a full drive mode; selecting a stand-by mode when start of the engine is completed; selecting a rotation mode when the engine speed is equal to or smaller than α2 and greater than α1, and selecting the full drive mode when fluctuation is predicted even when a difference Ndiff between rotation of a ring gear and rotation of a pinion gear is greater than a predetermined value β2.